A power law is a special mathematical relationship between two quantities in which one quantity varies as a power of the other. Numerous examples of power laws occur in nature, for example, the frequency of any word in a language is inversely proportional to its ranking in a frequency table....
A power law is the form taken by a remarkable number of regularities in economics, and is a relation of the type Y = kXα, where Y and X are variables of interest, α is called the power law exponent, and k is a constant. Many economic laws take the form
A power law is the form taken by a remarkable number of regularities in economics, and is a relation of the typeY=kXα, whereYandXare variables of interest,αis called the power law exponent, andkis a constant. Many economic laws take the form of power laws, in particular macroeconomic ...
分解log-periodic power laws(LPPL)模型 log-periodic power laws的公式乍一看很吓人,不知道如何理解。 其实,它就分为两个部分,一个部分是power law,一个部分是log-periodic 来自论文[1] 其中红色框是power law,蓝色框是log-periodic,这样分解后,这个公式就好理解多了。 接下来就是搞清楚为什么第一部分是power l...
Power laws in 3D systems Similar power laws are observed in 3D systems (Fig.4), which further confirms that the FPL,d < D, requires two length scales in the potential. 3DHH and 3DWCA glasses exhibit the normal power laws withd = 3.0 = D(Fig.4a, b) similar to their ...
Power laws are theoretically interesting probability distributions that are also frequently used to describe empirical data. In recent years, effective statistical methods for fitting power laws have been developed, but appropriate use of these techniques requires significant programming and statistical insight...
Power Laws vs. Lognormals and powerlaw's 'lognormal_positive' option When fitting a power law to a data set, one should compare the goodness of fit to that of alognormal distribution. This is done because lognormal distributions are another heavy-tailed distribution, but they can be genera...
Power laws, scale invariance, and generalized Frobenius series: Applications to Newtonian and TOV stars near criticality Since we have already seen that isotropy is violated on (rg, rmax), the only way we can maintain the perfec...Power laws, scale invariance, and generalized frobenius series: ...
A review of power laws in real life phenomena Carla M.A. Pinto, ... J.A. Tenreiro Machado, in Communications in Nonlinear Science and Numerical Simulation, 2012 1 Introduction Power law (PL) distributions, also known as heavy tail distributions, Pareto-like laws, or Zipf-like laws, have ...
1991. Power laws: Minutes from an infinite paradise. Google Scholar Goel, Sharad, Andrei Broder, Evgeniy Gabrilovich, and Bo Pang. 2010. Anatomy of the long tail: Ordinary people with extraordinary tastes. In Proceedings of the third ACM international conference on Web search and data mining,...